document.write( "Question 60879This question is from textbook
\n" ); document.write( ": can u please help me in this
\n" ); document.write( "5. person A tosses acoin and then person B rolls adie this is repeated independently until a head or one of the numbers 1,2,3,4 appears, at which time the game is stopped , person A wins with the head and B wins with one of the numbers 1,2,3,4 compute the probability that A wins the game \n" ); document.write( "
Algebra.Com's Answer #43508 by stanbon(75887)\"\" \"About 
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A will win with one of the following sequences:
\n" ); document.write( "H which has probability 1/2
\n" ); document.write( "T,(5 or 6), H which has probability (1/2)(2/6)(1/2)= 1/[6*2]=1/12
\n" ); document.write( "T,(5 or 6),T,(5 or 6),H which has probability (1/2)(2/6)(1/2)(2/6)(1/2)
\n" ); document.write( "=1/[6^2*2]=1/72
\n" ); document.write( "next sequence which has probability 1/[6^3*2]=1/432
\n" ); document.write( "then 1/[6*432}=1/2592
\n" ); document.write( "etc.
\n" ); document.write( "--------
\n" ); document.write( "This gives the series 1/2+1/[6*2]+1/[6^2*2]+...
\n" ); document.write( "Sum of this series is (1/2)[(1/6)^(n+1)-1]/[(1/6)-1]
\n" ); document.write( "=(1/2)[-1/(-5/6)]=3/5
\n" ); document.write( "---------
\n" ); document.write( "So, Probability of A winning is 3/5
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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